I'll got a bit further if I may, but its mostly a tip for the instructors:
Start from the basics. This makes such a tremendous difference I think, because we have these pre-conceived ideas about math, numbers, calculus, etc. (due to usually shitty high school education) that must be shattered and rebuilt from the ground up.
Here are the example notes that my undergrad (in fact, first college math class) professor used:
I went to the UofA 20 years ago. The math profs at that time were so bad I got turned off math forever and went into business school for finance. I have many stories, but the worst was when one prof quit half way through the semester because he demanded silence in class but didn't get it. Then the math dean said we could learn the rest of the course by reading the textbook with no lectures and the entire grade would be from the final exam. Seems like they have improved since then.
This is true for more advanced topics as well. One piece of advice I give people is to not be afraid to re-learn topics. Even getting an A in the class doesn't mean you've really "got" it. I don't think I really "got" linear algebra until maybe halfway through the first year of my PhD.
Start from the basics. This makes such a tremendous difference I think, because we have these pre-conceived ideas about math, numbers, calculus, etc. (due to usually shitty high school education) that must be shattered and rebuilt from the ground up.
Here are the example notes that my undergrad (in fact, first college math class) professor used:
Lecture 2: Numbers https://www.math.ualberta.ca/~xinweiyu/117-118.14-15/2014090...
Lecture 3: More Numbers and Rationals https://www.math.ualberta.ca/~xinweiyu/117-118.14-15/2014090...
Lecture 4: Irrational Numbers https://www.math.ualberta.ca/~xinweiyu/117-118.14-15/2014090...
As you see there is a very clear and natural progression from fundamental assumptions of mathematics to common day objects, with justifications.
From this you introduce the notions of infinity, again with historical developments (math didn't just come about in the last 50 years!)
Lecture 5: e https://www.math.ualberta.ca/~xinweiyu/117-118.14-15/2014091...
And so on; By rebuilding your knowledge in this deliberate way it becomes easier to work with more difficult topics later on.